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Advantages Of Elliptic Curve Cryptography

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Index
Sr.no Topic Page no Sign sign 1. Abstract

2. 1. Introduction

3. 2. Objective

4. 3. Elliptic Curve Discrete Logarithm Problem

5. 4.Application
A. Personal computer

B. Hand Held and other small devices

C. Identity Based Encryption

6. 5.Advantages Of ECC over RSA A. Security B. Space Requirements C. Efficiency

7. 6. Conclusion 16

9. 8.References 17

Elliptic curve cryptography
Abstract:
Cryptography is the art of hiding or securing the important communication from the possible attacks of the outside. …show more content…

Identity Based Encryption is a public key encryption scheme where any string can be a users email address or name. The advantage of Identity Based Encryption is no certificate is needed to bind names to public keys. This feature may help to launch a public key infrastructure since receiver does not have to obtain public key and certificate before receiving encrypted communication. The sender can use receivers Id as its public key and does not need to obtain and verify certificate on the recipient’s public key.

5. Advantages of ECC over RSA

A. Security
The main advantage ECC has over RSA is that the essential operation in ECC is point addition and it is computationally very costly. To maintain the same security degree the bits number will increase in RSA generated key pair. We can see from below figure that RSA should use 3072 bit while 256 bit for ECC. Hence ECC is more secure than RSA.

B. Space Requirements
Because increasing computation is needed for higher bit encryption more transistors are needed onboard the smart card to achieve operation. This causes growth in the area of employed processors. By ECC transistor number can be cut back on since numbers required are much smaller than RSA with similar level of security. Bandwidth requirements are same for RSA and ECC when message is long but when message is short ECC is

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